Systems Biology (Methods in Molecular Biology)

contractility, migration and invasiveness, especially during EMT [43]. This process ultimately ends up in the emergence of filop ...

3 Modeling 3.1 The Mathematical Framework Next, we attempt at listing crucial features of the mathematical model to reproduce th ...

this approach is that the ODEs system still hold for strictly positive values of the time-scale parameter, hence providing a rel ...

exclusive, and the same mathematical formalism could also be adopted for other observable quantities (refer to Subheading4, Note ...

corresponding cell-related “densities” as the following spatial integrals EðtÞ¼ 1 jΩj Z Ω eðt,xÞdx, FðtÞ¼ 1 jΩj Z Ω fðt,xÞdx, Cð ...

efficiently established directly at a higher order (i.e., mesoscopic) level, without the necessity of moving down to the microsc ...

Φ 1 ðÞ¼u,w;τ,λ 1 τ ðÞwu, Φ 2 ðÞ¼u,w;τ,λ λguðÞw: ð 8 Þ We attempt at formulating a hypothetical interpretation of the dynamical ...

hðu;λÞ:¼uλgðuÞ and thestabilityproperties are deduced by analyzing its first order derivative (namely, the first order variatio ...

equilibrium is stable; otherwise, if it is negative, the equilibrium is unstable/metastable. Under the assumption that g is non- ...

be adjusted to predictively regulate the system response. It is worthwhile noticing that multiple equilibria could be generated ...

d ds ¼τ d dt : This procedure consists in rescaling the time variable in order to zoom in on the system process during the first ...

τ d^2 u dt^2 þ du dt ¼ dw dt ¼λguðÞw, and then first equation is used again to obtain τ d^2 u dt^2 þðÞ 1 þτ du dt þuλguðÞ¼0, ð ...

2.Cell culture protocols.Currently, a number of artifacts frequently biases cell culture models. For instance, cells are typical ...

Subheading3.2). The linearization at an equilibrium point (u,w) gives a system for the first order perturbation (ξ,η) that is dξ ...

5 Conclusions and Perspectives Reproducibility of the results presented in this report has been assessed by means of triplicate, ...

Tam WL, Weinberg RA (2013) The epige- netics of epithelial-mesenchymal plasticity in cancer. Nat Med 19(11):1438–1449 Waddingto ...

Sarrio ́D, Rodriguez-Pinilla SM, Hardisson D, Cano A, Moreno-Bueno G, Palacios J (2008) Epithelial-mesenchymal transition in br ...

Chapter 8 Parameters Estimation in Phase-Space Landscape Reconstruction of Cell Fate: A Systems Biology Approach Sheyla Montero, ...

NHE Exchanger NA+/H+ PFK-1 Phosphofructokinase type 1 PGK 3-Phosphoglycerate kinase PYK Pyruvate kinase Pi Inorganic phosphate P ...

Otherwise, Theoretical Systems Biology, according to which both theoretical and methodological approaches in biological research ...